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  Editable->False,
  SelectWithContents->True,
  Selectable->False]], "Output",
 CellChangeTimes->{
  3.7229207427618284`*^9, {3.722920831270996*^9, 3.722920867502406*^9}, {
   3.722920918035817*^9, 3.7229209449069004`*^9}, {3.7229213889948893`*^9, 
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Cell[BoxData[
 TagBox[
  RowBox[{"FittedModel", "[", 
   TagBox[
    PanelBox[
     TagBox[
      RowBox[{"Sin", "[", 
       RowBox[{"1.000247333590778`", " ", "x"}], "]"}],
      Short[#, 2]& ],
     FrameMargins->5],
    Editable -> False], "]"}],
  InterpretTemplate[
  FittedModel[{
    "Nonlinear", {$CellContext`a -> 1.000247333590778}, {{$CellContext`x}, 
      Sin[$CellContext`a $CellContext`x]}}, {
    1}, {{0, 0.07845952249126531}, {
     Rational[2, 999] Pi, 0.038240093640505055`}, {
     Rational[4, 999] Pi, 0.040877957521137924`}, {
     Rational[2, 333] Pi, 0.03157391461038882}, {
     Rational[8, 999] Pi, 0.05192595836721063}, {
     Rational[10, 999] Pi, 0.06931250452398935}, {
     Rational[4, 333] Pi, 0.12495426371987944`}, {
     Rational[14, 999] Pi, 0.1372222552344784}, {
     Rational[16, 999] Pi, 0.07550483008103792}, {
     Rational[2, 111] Pi, 0.11205972639696697`}, {
     Rational[20, 999] Pi, 0.06746973946926699}, {
     Rational[22, 999] Pi, 0.08332742437771776}, {
     Rational[8, 333] Pi, 0.08030933055231101}, {
     Rational[26, 999] Pi, 0.17153967523916336`}, {
     Rational[28, 999] Pi, 0.1202545076145978}, {
     Rational[10, 333] Pi, 0.15181478936607104`}, {
     Rational[32, 999] Pi, 0.1932509107013626}, {
     Rational[34, 999] Pi, 0.12664066665214552`}, {
     Rational[4, 111] Pi, 0.19078282388617093`}, {
     Rational[38, 999] Pi, 0.20472293195608515`}, {
     Rational[40, 999] Pi, 0.18842740043210646`}, {
     Rational[14, 333] Pi, 0.2008780462615732}, {
     Rational[44, 999] Pi, 0.23065631055872537`}, {
     Rational[46, 999] Pi, 0.2197455296826102}, {
     Rational[16, 333] Pi, 0.1893730197830275}, {
     Rational[50, 999] Pi, 0.18365473929506293`}, {
     Rational[52, 999] Pi, 0.2381010488509978}, {
     Rational[2, 37] Pi, 0.2514441655139533}, {
     Rational[56, 999] Pi, 0.22962060232606574`}, {
     Rational[58, 999] Pi, 0.19225416864351574`}, {
     Rational[20, 333] Pi, 0.2582764125988999}, {
     Rational[62, 999] Pi, 0.25760977058391793`}, {
     Rational[64, 999] Pi, 0.22255027955890042`}, {
     Rational[22, 333] Pi, 0.3003123498098388}, {
     Rational[68, 999] Pi, 0.26333092211753095`}, {
     Rational[70, 999] Pi, 0.312911578110916}, {
     Rational[8, 111] Pi, 0.3189166117682397}, {
     Rational[2, 27] Pi, 0.23553340225255287`}, {
     Rational[76, 999] Pi, 0.33305839511563273`}, {
     Rational[26, 333] Pi, 0.2955268581335676}, {
     Rational[80, 999] Pi, 0.29502739861114574`}, {
     Rational[82, 999] Pi, 0.341232364865941}, {
     Rational[28, 333] Pi, 0.30143815165424415`}, {
     Rational[86, 999] Pi, 0.28398676489273345`}, {
     Rational[88, 999] Pi, 0.2891576820505627}, {
     Rational[10, 111] Pi, 0.3092972132680851}, {
     Rational[92, 999] Pi, 0.38268932382780546`}, {
     Rational[94, 999] Pi, 0.35918647582071517`}, {
     Rational[32, 333] Pi, 0.2999472445879079}, {
     Rational[98, 999] Pi, 0.3430655570014391}, {
     Rational[100, 999] Pi, 0.38678614290721614`}, {
     Rational[34, 333] Pi, 0.40441514611858076`}, {
     Rational[104, 999] Pi, 0.4087719720249827}, {
     Rational[106, 999] Pi, 0.4251874266723113}, {
     Rational[4, 37] Pi, 0.43166976281833236`}, {
     Rational[110, 999] Pi, 0.42780571144797663`}, {
     Rational[112, 999] Pi, 0.35732067123509287`}, {
     Rational[38, 333] Pi, 0.38823489637823405`}, {
     Rational[116, 999] Pi, 0.42146925456951767`}, {
     Rational[118, 999] Pi, 0.38354517738902855`}, {
     Rational[40, 333] Pi, 0.40097672865490175`}, {
     Rational[122, 999] Pi, 0.41095794941132724`}, {
     Rational[124, 999] Pi, 0.4488784628373613}, {
     Rational[14, 111] Pi, 0.4746739935081006}, {
     Rational[128, 999] Pi, 0.41540165637391957`}, {
     Rational[130, 999] Pi, 0.4427644709916807}, {
     Rational[44, 333] Pi, 0.4506148808675914}, {
     Rational[134, 999] Pi, 0.45953710052012436`}, {
     Rational[136, 999] Pi, 0.4949482417891007}, {
     Rational[46, 333] Pi, 0.45690105343827836`}, {
     Rational[140, 999] Pi, 0.5086704216370928}, {
     Rational[142, 999] Pi, 0.48180180259918093`}, {
     Rational[16, 111] Pi, 0.4956980400874329}, {
     Rational[146, 999] Pi, 0.5341366690530467}, {
     Rational[4, 27] Pi, 0.539166415791861}, {
     Rational[50, 333] Pi, 0.5085924692865189}, {
     Rational[152, 999] Pi, 0.5494096564038775}, {
     Rational[154, 999] Pi, 0.5090149687956039}, {
     Rational[52, 333] Pi, 0.5406663059282883}, {
     Rational[158, 999] Pi, 0.4862041598854886}, {
     Rational[160, 999] Pi, 0.4987794009263794}, {
     Rational[6, 37] Pi, 0.582738561978952}, {
     Rational[164, 999] Pi, 0.5639085135652612}, {
     Rational[166, 999] Pi, 0.558700791244189}, {
     Rational[56, 333] Pi, 0.57271001815982}, {
     Rational[170, 999] Pi, 0.5225601080667825}, {
     Rational[172, 999] Pi, 0.5406964611024203}, {
     Rational[58, 333] Pi, 0.5426115153315659}, {
     Rational[176, 999] Pi, 0.5769505311995888}, {
     Rational[178, 999] Pi, 0.5379151536535112}, {
     Rational[20, 111] Pi, 0.6172340390157748}, {
     Rational[182, 999] Pi, 0.6282379454093019}, {
     Rational[184, 999] Pi, 0.6309064061719166}, {
     Rational[62, 333] Pi, 0.5564398224570742}, {
     Rational[188, 999] Pi, 0.6222043520660324}, {
     Rational[190, 999] Pi, 0.616014768902178}, {
     Rational[64, 333] Pi, 0.6512329794153102}, {
     Rational[194, 999] Pi, 0.6670087423029396}, {
     Rational[196, 999] Pi, 0.5891501671222599}, {
     Rational[22, 111] Pi, 0.6284037152231422}, {
     Rational[200, 999] Pi, 0.6062928851662428}, {
     Rational[202, 999] Pi, 0.6666982876042327}, {
     Rational[68, 333] Pi, 0.6215565479946069}, {
     Rational[206, 999] Pi, 0.6980233221970785}, {
     Rational[208, 999] Pi, 0.6988722252154796}, {
     Rational[70, 333] Pi, 0.7118962841310688}, {
     Rational[212, 999] Pi, 0.6901648996209532}, {
     Rational[214, 999] Pi, 0.6626408201372388}, {
     Rational[8, 37] Pi, 0.6655248020236778}, {
     Rational[218, 999] Pi, 0.6635334447726945}, {
     Rational[220, 999] Pi, 0.6892749737882902}, {
     Rational[2, 9] Pi, 0.7319475314606405}, {
     Rational[224, 999] Pi, 0.7174945616416649}, {
     Rational[226, 999] Pi, 0.7465452927945976}, {
     Rational[76, 333] Pi, 0.7535258217583207}, {
     Rational[230, 999] Pi, 0.7339757880388856}, {
     Rational[232, 999] Pi, 0.6714668808992209}, {
     Rational[26, 111] Pi, 0.7073662887884721}, {
     Rational[236, 999] Pi, 0.7251211923686101}, {
     Rational[238, 999] Pi, 0.7018800962475019}, {
     Rational[80, 333] Pi, 0.6913323560773806}, {
     Rational[242, 999] Pi, 0.706437991773048}, {
     Rational[244, 999] Pi, 0.7777576303548295}, {
     Rational[82, 333] Pi, 0.7732704311083922}, {
     Rational[248, 999] Pi, 0.7185521128017641}, {
     Rational[250, 999] Pi, 0.793014800740508}, {
     Rational[28, 111] Pi, 0.7462657936857449}, {
     Rational[254, 999] Pi, 0.7899875128015741}, {
     Rational[256, 999] Pi, 0.7952044192244303}, {
     Rational[86, 333] Pi, 0.7313254336841291}, {
     Rational[260, 999] Pi, 0.7295976529403868}, {
     Rational[262, 999] Pi, 0.7660636355833724}, {
     Rational[88, 333] Pi, 0.836812462765552}, {
     Rational[266, 999] Pi, 0.7986870146935479}, {
     Rational[268, 999] Pi, 0.7524747656742986}, {
     Rational[10, 37] Pi, 0.8034163722949559}, {
     Rational[272, 999] Pi, 0.8031536561574186}, {
     Rational[274, 999] Pi, 0.785472213029446}, {
     Rational[92, 333] Pi, 0.8189343274934414}, {
     Rational[278, 999] Pi, 0.851306936916743}, {
     Rational[280, 999] Pi, 0.810387840876743}, {
     Rational[94, 333] Pi, 0.8531235185609789}, {
     Rational[284, 999] Pi, 0.8057497612930724}, {
     Rational[286, 999] Pi, 0.8623795577816538}, {
     Rational[32, 111] Pi, 0.85355675255902}, {
     Rational[290, 999] Pi, 0.8558583770284247}, {
     Rational[292, 999] Pi, 0.8423792977578036}, {
     Rational[98, 333] Pi, 0.8945004375075645}, {
     Rational[8, 27] Pi, 0.8181571717329584}, {
     Rational[298, 999] Pi, 0.8214595197908859}, {
     Rational[100, 333] Pi, 0.8885748004850149}, {
     Rational[302, 999] Pi, 0.8721028398210535}, {
     Rational[304, 999] Pi, 0.9092748457144694}, {
     Rational[34, 111] Pi, 0.8366761361995713}, {
     Rational[308, 999] Pi, 0.8709160120012689}, {
     Rational[310, 999] Pi, 0.9149431943728686}, {
     Rational[104, 333] Pi, 0.9250748480420393}, {
     Rational[314, 999] Pi, 0.9141739005460421}, {
     Rational[316, 999] Pi, 0.9111746013748099}, {
     Rational[106, 333] Pi, 0.9252358257297358}, {
     Rational[320, 999] Pi, 0.9399234016277398}, {
     Rational[322, 999] Pi, 0.9247943881478751}, {
     Rational[12, 37] Pi, 0.8765234260262694}, {
     Rational[326, 999] Pi, 0.9364710505189675}, {
     Rational[328, 999] Pi, 0.9458747842275422}, {
     Rational[110, 333] Pi, 0.9605417134336145}, {
     Rational[332, 999] Pi, 0.9533776675365254}, {
     Rational[334, 999] Pi, 0.9422811976619477}, {
     Rational[112, 333] Pi, 0.8858032743216566}, {
     Rational[338, 999] Pi, 0.9631429721743506}, {
     Rational[340, 999] Pi, 0.9300638348949436}, {
     Rational[38, 111] Pi, 0.9004683889184425}, {
     Rational[344, 999] Pi, 0.9222181238751219}, {
     Rational[346, 999] Pi, 0.9450153748340606}, {
     Rational[116, 333] Pi, 0.9424513241373856}, {
     Rational[350, 999] Pi, 0.9091798798649775}, {
     Rational[352, 999] Pi, 0.9147736504941811}, {
     Rational[118, 333] Pi, 0.9180748500710064}, {
     Rational[356, 999] Pi, 0.9303155221501311}, {
     Rational[358, 999] Pi, 0.9172614641452793}, {
     Rational[40, 111] Pi, 0.9327076650225475}, {
     Rational[362, 999] Pi, 0.9639956475624754}, {
     Rational[364, 999] Pi, 0.937322591834304}, {
     Rational[122, 333] Pi, 0.9310711488557454}, {
     Rational[368, 999] Pi, 0.9551165856804471}, {
     Rational[10, 27] Pi, 0.9943360847514775}, {
     Rational[124, 333] Pi, 0.9512692468120783}, {
     Rational[374, 999] Pi, 0.9975298192948381}, {
     Rational[376, 999] Pi, 0.9549564475241872}, {
     Rational[14, 37] Pi, 0.9642993262337669}, {
     Rational[380, 999] Pi, 0.9934596029805204}, {
     Rational[382, 999] Pi, 0.9944293402121119}, {
     Rational[128, 333] Pi, 0.9420315301445689}, {
     Rational[386, 999] Pi, 1.0169092070466974`}, {
     Rational[388, 999] Pi, 0.999486286544419}, {
     Rational[130, 333] Pi, 1.0172992018919993`}, {
     Rational[392, 999] Pi, 0.9731326644121179}, {
     Rational[394, 999] Pi, 1.0276485500057135`}, {
     Rational[44, 111] Pi, 1.0171880449589485`}, {
     Rational[398, 999] Pi, 0.9566445729604092}, {
     Rational[400, 999] Pi, 1.0487610046771116`}, {
     Rational[134, 333] Pi, 0.9630021829468909}, {
     Rational[404, 999] Pi, 0.9712536150479507}, {
     Rational[406, 999] Pi, 1.036216398109407}, {
     Rational[136, 333] Pi, 1.0384852327936243`}, {
     Rational[410, 999] Pi, 1.018975674333094}, {
     Rational[412, 999] Pi, 1.018988989052177}, {
     Rational[46, 111] Pi, 0.9776160487747615}, {
     Rational[416, 999] Pi, 0.9777730355658494}, {
     Rational[418, 999] Pi, 1.0578984324986995`}, {
     Rational[140, 333] Pi, 1.06786114674099}, {
     Rational[422, 999] Pi, 1.0504033165835054`}, {
     Rational[424, 999] Pi, 1.045697084260174}, {
     Rational[142, 333] Pi, 1.03697561956699}, {
     Rational[428, 999] Pi, 1.0084811828678428`}, {
     Rational[430, 999] Pi, 1.0248888828868394`}, {
     Rational[16, 37] Pi, 0.9926434776872824}, {
     Rational[434, 999] Pi, 1.017884475939104}, {
     Rational[436, 999] Pi, 1.0010392655052796`}, {
     Rational[146, 333] Pi, 1.0358941615863007`}, {
     Rational[440, 999] Pi, 1.0617446392567889`}, {
     Rational[442, 999] Pi, 1.0266798898252327`}, {
     Rational[4, 9] Pi, 1.0301627282757089`}, {
     Rational[446, 999] Pi, 1.0364795126527806`}, {
     Rational[448, 999] Pi, 1.0795248709286673`}, {
     Rational[50, 111] Pi, 1.057673969030994}, {
     Rational[452, 999] Pi, 1.005027298262593}, {
     Rational[454, 999] Pi, 1.003755708301566}, {
     Rational[152, 333] Pi, 1.0495556850378}, {
     Rational[458, 999] Pi, 1.0196811490624875`}, {
     Rational[460, 999] Pi, 0.9925067433238464}, {
     Rational[154, 333] Pi, 1.0470430369202068`}, {
     Rational[464, 999] Pi, 1.0662435867617646`}, {
     Rational[466, 999] Pi, 1.0561377658852051`}, {
     Rational[52, 111] Pi, 1.0662500713916476`}, {
     Rational[470, 999] Pi, 1.0910259249763037`}, {
     Rational[472, 999] Pi, 1.0467591207980982`}, {
     Rational[158, 333] Pi, 1.0742398986260153`}, {
     Rational[476, 999] Pi, 1.0075264640816386`}, {
     Rational[478, 999] Pi, 1.0226282530297404`}, {
     Rational[160, 333] Pi, 1.0757182895136537`}, {
     Rational[482, 999] Pi, 1.0314727917084205`}, {
     Rational[484, 999] Pi, 1.0696629770533992`}, {
     Rational[18, 37] Pi, 1.0296224850903508`}, {
     Rational[488, 999] Pi, 1.0126673007062743`}, {
     Rational[490, 999] Pi, 1.0195787620297947`}, {
     Rational[164, 333] Pi, 1.0533508747611748`}, {
     Rational[494, 999] Pi, 1.0993106913120674`}, {
     Rational[496, 999] Pi, 1.084006680147566}, {
     Rational[166, 333] Pi, 1.0305968166493826`}, {
     Rational[500, 999] Pi, 1.0242393015227154`}, {
     Rational[502, 999] Pi, 1.0008146128502704`}, {
     Rational[56, 111] Pi, 1.0824687401247342`}, {
     Rational[506, 999] Pi, 1.0250059797410767`}, {
     Rational[508, 999] Pi, 1.0070729381655381`}, {
     Rational[170, 333] Pi, 1.0942205930143296`}, {
     Rational[512, 999] Pi, 1.0508720425260183`}, {
     Rational[514, 999] Pi, 1.045379181207862}, {
     Rational[172, 333] Pi, 1.088296550474019}, {
     Rational[14, 27] Pi, 1.0072162133633662`}, {
     Rational[520, 999] Pi, 1.0734806435368371`}, {
     Rational[58, 111] Pi, 1.0150132871740385`}, {
     Rational[524, 999] Pi, 1.0743360696246154`}, {
     Rational[526, 999] Pi, 0.9993597978625021}, {
     Rational[176, 333] Pi, 1.0812431006817487`}, {
     Rational[530, 999] Pi, 1.031172824242103}, {
     Rational[532, 999] Pi, 1.0531140943990216`}, {
     Rational[178, 333] Pi, 1.0625652421216005`}, {
     Rational[536, 999] Pi, 1.0485518955027022`}, {
     Rational[538, 999] Pi, 1.0682957411744907`}, {
     Rational[20, 37] Pi, 1.0025066861550123`}, {
     Rational[542, 999] Pi, 0.9913614265907816}, {
     Rational[544, 999] Pi, 1.0861722015315283`}, {
     Rational[182, 333] Pi, 1.0790122688475443`}, {
     Rational[548, 999] Pi, 1.0194862685047736`}, {
     Rational[550, 999] Pi, 1.0199506152347975`}, {
     Rational[184, 333] Pi, 1.0041712414096082`}, {
     Rational[554, 999] Pi, 1.0636798378209487`}, {
     Rational[556, 999] Pi, 1.0392949313256035`}, {
     Rational[62, 111] Pi, 1.0346660282620241`}, {
     Rational[560, 999] Pi, 0.9840617186426529}, {
     Rational[562, 999] Pi, 1.0128745114179072`}, {
     Rational[188, 333] Pi, 0.9930070594047253}, {
     Rational[566, 999] Pi, 1.0515537972107771`}, {
     Rational[568, 999] Pi, 1.0016463839879584`}, {
     Rational[190, 333] Pi, 1.058248476196234}, {
     Rational[572, 999] Pi, 1.059259441597497}, {
     Rational[574, 999] Pi, 1.0564083102643285`}, {
     Rational[64, 111] Pi, 1.0435901882758247`}, {
     Rational[578, 999] Pi, 1.0212593295286558`}, {
     Rational[580, 999] Pi, 1.006802314515701}, {
     Rational[194, 333] Pi, 1.015161750401153}, {
     Rational[584, 999] Pi, 0.9732991972787626}, {
     Rational[586, 999] Pi, 0.9680740665988794}, {
     Rational[196, 333] Pi, 1.0125703545314413`}, {
     Rational[590, 999] Pi, 0.9760585070147177}, {
     Rational[16, 27] Pi, 1.0305245515200858`}, {
     Rational[22, 37] Pi, 1.0212519813029233`}, {
     Rational[596, 999] Pi, 1.0539015682764468`}, {
     Rational[598, 999] Pi, 0.9801075282822092}, {
     Rational[200, 333] Pi, 1.0153024620021094`}, {
     Rational[602, 999] Pi, 1.033326201056786}, {
     Rational[604, 999] Pi, 0.9635247048017809}, {
     Rational[202, 333] Pi, 1.0434942364893993`}, {
     Rational[608, 999] Pi, 1.0323600828750286`}, {
     Rational[610, 999] Pi, 0.9873768413351725}, {
     Rational[68, 111] Pi, 0.9793831054221878}, {
     Rational[614, 999] Pi, 1.024911150472668}, {
     Rational[616, 999] Pi, 0.9749930652431813}, {
     Rational[206, 333] Pi, 1.0126808484156562`}, {
     Rational[620, 999] Pi, 0.9339954343537334}, {
     Rational[622, 999] Pi, 0.9863856114029217}, {
     Rational[208, 333] Pi, 1.0029524200946647`}, {
     Rational[626, 999] Pi, 0.9446496444074722}, {
     Rational[628, 999] Pi, 1.0179403757319017`}, {
     Rational[70, 111] Pi, 0.9650246279429379}, {
     Rational[632, 999] Pi, 1.0074115387974611`}, {
     Rational[634, 999] Pi, 0.9219842050392081}, {
     Rational[212, 333] Pi, 0.9869201829761858}, {
     Rational[638, 999] Pi, 0.9427520123865906}, {
     Rational[640, 999] Pi, 0.9518263082962042}, {
     Rational[214, 333] Pi, 0.9222787759677149}, {
     Rational[644, 999] Pi, 0.9237338588598849}, {
     Rational[646, 999] Pi, 0.9167199252176319}, {
     Rational[24, 37] Pi, 0.9446674936883416}, {
     Rational[650, 999] Pi, 0.9714087087163064}, {
     Rational[652, 999] Pi, 0.9164117770170248}, {
     Rational[218, 333] Pi, 0.9658504106023582}, {
     Rational[656, 999] Pi, 0.908305909935847}, {
     Rational[658, 999] Pi, 0.9358821548065266}, {
     Rational[220, 333] Pi, 0.9224197530531381}, {
     Rational[662, 999] Pi, 0.9469646154786692}, {
     Rational[664, 999] Pi, 0.8930574452238625}, {
     Rational[2, 3] Pi, 0.8731509240425468}, {
     Rational[668, 999] Pi, 0.943775209885497}, {
     Rational[670, 999] Pi, 0.9506040577766957}, {
     Rational[224, 333] Pi, 0.9047894379579515}, {
     Rational[674, 999] Pi, 0.9090215353002322}, {
     Rational[676, 999] Pi, 0.8967154888470856}, {
     Rational[226, 333] Pi, 0.9206494371423471}, {
     Rational[680, 999] Pi, 0.8718605677995697}, {
     Rational[682, 999] Pi, 0.8928012201438356}, {
     Rational[76, 111] Pi, 0.86448886607314}, {
     Rational[686, 999] Pi, 0.9023895937007095}, {
     Rational[688, 999] Pi, 0.875903131333863}, {
     Rational[230, 333] Pi, 0.855829813870423}, {
     Rational[692, 999] Pi, 0.8948986735641141}, {
     Rational[694, 999] Pi, 0.9057823541818761}, {
     Rational[232, 333] Pi, 0.852023987648503}, {
     Rational[698, 999] Pi, 0.8901147462736382}, {
     Rational[700, 999] Pi, 0.8864059792379759}, {
     Rational[26, 37] Pi, 0.8091873259169247}, {
     Rational[704, 999] Pi, 0.800732706278384}, {
     Rational[706, 999] Pi, 0.8301609628595361}, {
     Rational[236, 333] Pi, 0.8183266700162819}, {
     Rational[710, 999] Pi, 0.8200856465289881}, {
     Rational[712, 999] Pi, 0.8609753821304598}, {
     Rational[238, 333] Pi, 0.8212455308547816}, {
     Rational[716, 999] Pi, 0.7924077342726537}, {
     Rational[718, 999] Pi, 0.8597784118081085}, {
     Rational[80, 111] Pi, 0.7714700702331687}, {
     Rational[722, 999] Pi, 0.8179016978657063}, {
     Rational[724, 999] Pi, 0.8070298734793834}, {
     Rational[242, 333] Pi, 0.7740344487691234}, {
     Rational[728, 999] Pi, 0.793610764572925}, {
     Rational[730, 999] Pi, 0.8008005292230522}, {
     Rational[244, 333] Pi, 0.8412911818418409}, {
     Rational[734, 999] Pi, 0.766145548816445}, {
     Rational[736, 999] Pi, 0.8138905847252427}, {
     Rational[82, 111] Pi, 0.7319389291955518}, {
     Rational[20, 27] Pi, 0.814261646609409}, {
     Rational[742, 999] Pi, 0.781413532247093}, {
     Rational[248, 333] Pi, 0.7377533604024686}, {
     Rational[746, 999] Pi, 0.7191014923311633}, {
     Rational[748, 999] Pi, 0.7431168167539407}, {
     Rational[250, 333] Pi, 0.7307758048810291}, {
     Rational[752, 999] Pi, 0.7168856789158613}, {
     Rational[754, 999] Pi, 0.719669119259421}, {
     Rational[28, 37] Pi, 0.7520942716663085}, {
     Rational[758, 999] Pi, 0.7868598977145999}, {
     Rational[760, 999] Pi, 0.7644548446160923}, {
     Rational[254, 333] Pi, 0.7661855946704641}, {
     Rational[764, 999] Pi, 0.764612519239054}, {
     Rational[766, 999] Pi, 0.7636147141109091}, {
     Rational[256, 333] Pi, 0.6793028837462213}, {
     Rational[770, 999] Pi, 0.6618782108176272}, {
     Rational[772, 999] Pi, 0.6862862244214281}, {
     Rational[86, 111] Pi, 0.7022939899910128}, {
     Rational[776, 999] Pi, 0.7441322774378338}, {
     Rational[778, 999] Pi, 0.7279732684536893}, {
     Rational[260, 333] Pi, 0.6892987465000178}, {
     Rational[782, 999] Pi, 0.6572135651252138}, {
     Rational[784, 999] Pi, 0.6990150675293532}, {
     Rational[262, 333] Pi, 0.6476616114724281}, {
     Rational[788, 999] Pi, 0.7065571695392305}, {
     Rational[790, 999] Pi, 0.6497056194115753}, {
     Rational[88, 111] Pi, 0.6566358905667552}, {
     Rational[794, 999] Pi, 0.6336777096320461}, {
     Rational[796, 999] Pi, 0.6500957488538471}, {
     Rational[266, 333] Pi, 0.6255112452848225}, {
     Rational[800, 999] Pi, 0.6739170365490399}, {
     Rational[802, 999] Pi, 0.666571195622938}, {
     Rational[268, 333] Pi, 0.6745774338190316}, {
     Rational[806, 999] Pi, 0.5938515869814204}, {
     Rational[808, 999] Pi, 0.5910261622521984}, {
     Rational[30, 37] Pi, 0.6251913024676278}, {
     Rational[812, 999] Pi, 0.632147852546212}, {
     Rational[22, 27] Pi, 0.6227915463703994}, {
     Rational[272, 333] Pi, 0.6033776497421229}, {
     Rational[818, 999] Pi, 0.6030638054287961}, {
     Rational[820, 999] Pi, 0.5634684118358227}, {
     Rational[274, 333] Pi, 0.5645703116658465}, {
     Rational[824, 999] Pi, 0.5961285007165941}, {
     Rational[826, 999] Pi, 0.6103252619531245}, {
     Rational[92, 111] Pi, 0.593423667461387}, {
     Rational[830, 999] Pi, 0.5968248738722148}, {
     Rational[832, 999] Pi, 0.5125644491753109}, {
     Rational[278, 333] Pi, 0.5576162607632253}, {
     Rational[836, 999] Pi, 0.5483461719113428}, {
     Rational[838, 999] Pi, 0.5834543835052473}, {
     Rational[280, 333] Pi, 0.48439689644338113`}, {
     Rational[842, 999] Pi, 0.518498434342668}, {
     Rational[844, 999] Pi, 0.5547715153505248}, {
     Rational[94, 111] Pi, 0.5156720624382221}, {
     Rational[848, 999] Pi, 0.4695335347055226}, {
     Rational[850, 999] Pi, 0.5340770227524477}, {
     Rational[284, 333] Pi, 0.46377698017232927`}, {
     Rational[854, 999] Pi, 0.44577960539171924`}, {
     Rational[856, 999] Pi, 0.4463362399125078}, {
     Rational[286, 333] Pi, 0.5178791362760014}, {
     Rational[860, 999] Pi, 0.48872999352761115`}, {
     Rational[862, 999] Pi, 0.47865606737309974`}, {
     Rational[32, 37] Pi, 0.43290021189139527`}, {
     Rational[866, 999] Pi, 0.4168438264311474}, {
     Rational[868, 999] Pi, 0.46353096030231067`}, {
     Rational[290, 333] Pi, 0.4773787473857046}, {
     Rational[872, 999] Pi, 0.40665238228789613`}, {
     Rational[874, 999] Pi, 0.44899540172290975`}, {
     Rational[292, 333] Pi, 0.41349839689432605`}, {
     Rational[878, 999] Pi, 0.37518541719141035`}, {
     Rational[880, 999] Pi, 0.4458341788605306}, {
     Rational[98, 111] Pi, 0.42329414269336196`}, {
     Rational[884, 999] Pi, 0.4168558978389611}, {
     Rational[886, 999] Pi, 0.4378888887934289}, {
     Rational[8, 9] Pi, 0.3792387628413691}, {
     Rational[890, 999] Pi, 0.39024879982759064`}, {
     Rational[892, 999] Pi, 0.38491440265888}, {
     Rational[298, 333] Pi, 0.35362090912476307`}, {
     Rational[896, 999] Pi, 0.3912618827812234}, {
     Rational[898, 999] Pi, 0.3714627628345464}, {
     Rational[100, 111] Pi, 0.399368766793083}, {
     Rational[902, 999] Pi, 0.35024727693827534`}, {
     Rational[904, 999] Pi, 0.29986701098029794`}, {
     Rational[302, 333] Pi, 0.3137071031331252}, {
     Rational[908, 999] Pi, 0.37067673449330696`}, {
     Rational[910, 999] Pi, 0.3390494508272448}, {
     Rational[304, 333] Pi, 0.32169383826963555`}, {
     Rational[914, 999] Pi, 0.26540322028984625`}, {
     Rational[916, 999] Pi, 0.35524134313363553`}, {
     Rational[34, 37] Pi, 0.3140106191136601}, {
     Rational[920, 999] Pi, 0.25920265425560407`}, {
     Rational[922, 999] Pi, 0.3289148431759379}, {
     Rational[308, 333] Pi, 0.3224341813810436}, {
     Rational[926, 999] Pi, 0.28158285504682606`}, {
     Rational[928, 999] Pi, 0.29823761250515557`}, {
     Rational[310, 333] Pi, 0.22959983940882672`}, {
     Rational[932, 999] Pi, 0.21869608955461176`}, {
     Rational[934, 999] Pi, 0.2208158958378874}, {
     Rational[104, 111] Pi, 0.2088365686192033}, {
     Rational[938, 999] Pi, 0.2650099261632633}, {
     Rational[940, 999] Pi, 0.21285711329849105`}, {
     Rational[314, 333] Pi, 0.20633167359077847`}, {
     Rational[944, 999] Pi, 0.20211767255528262`}, {
     Rational[946, 999] Pi, 0.20726163207777676`}, {
     Rational[316, 333] Pi, 0.21847462287088912`}, {
     Rational[950, 999] Pi, 0.23233605599231022`}, {
     Rational[952, 999] Pi, 0.14769694679297135`}, {
     Rational[106, 111] Pi, 0.17508274736886012`}, {
     Rational[956, 999] Pi, 0.18087582962927884`}, {
     Rational[958, 999] Pi, 0.18719509258845038`}, {
     Rational[320, 333] Pi, 0.21751239619397833`}, {
     Rational[26, 27] Pi, 0.15610722626407486`}, {
     Rational[964, 999] Pi, 0.1420512276180488}, {
     Rational[322, 333] Pi, 0.18894716407973863`}, {
     Rational[968, 999] Pi, 0.14858646478663928`}, {
     Rational[970, 999] Pi, 0.09400055478904502}, {
     Rational[36, 37] Pi, 0.0998539543599096}, {
     Rational[974, 999] Pi, 0.12762153733939163`}, {
     Rational[976, 999] Pi, 0.07360287036722231}, {
     Rational[326, 333] Pi, 0.15957727574696356`}, {
     Rational[980, 999] Pi, 0.08403342682110992}, {
     Rational[982, 999] Pi, 0.11567896767756507`}, {
     Rational[328, 333] Pi, 0.09042206027725297}, {
     Rational[986, 999] Pi, 0.08479209981723912}, {
     Rational[988, 999] Pi, 0.12848069108538088`}, {
     Rational[110, 111] Pi, 0.05942318124422326}, {
     Rational[992, 999] Pi, 0.03177883731907555}, {
     Rational[994, 999] Pi, 0.09349697888163025}, {
     Rational[332, 333] Pi, 0.017302104151040353`}, {
     Rational[998, 999] Pi, 0.03418935170442133}, {
     Rational[1000, 999] Pi, 0.08105162362798932}, {
     Rational[334, 333] Pi, 0.0790502329800406}, {
     Rational[1004, 999] Pi, -0.008266382596492865}, {
     Rational[1006, 999] Pi, 0.03529061994320562}, {
     Rational[112, 111] Pi, 0.06711184994273271}, {
     Rational[1010, 999] Pi, -0.0292317351522884}, {
     Rational[1012, 999] Pi, 0.027126138835011325`}, {
     Rational[338, 333] Pi, -0.01417240030152487}, {
     Rational[1016, 999] Pi, -0.03284006717623349}, {
     Rational[1018, 999] Pi, -0.012561415707223966`}, {
     Rational[340, 333] Pi, -0.013025640013910808`}, {
     Rational[1022, 999] Pi, -0.048975051075265646`}, {
     Rational[1024, 999] Pi, -0.011777850629973663`}, {
     Rational[38, 37] Pi, -0.0400063087019643}, {
     Rational[1028, 999] Pi, -0.024971182795958377`}, {
     Rational[1030, 999] Pi, -0.09683525669847556}, {
     Rational[344, 333] Pi, -0.09807831874176261}, {
     Rational[1034, 999] Pi, -0.078062513450575}, {
     Rational[28, 27] Pi, -0.04949100233033003}, {
     Rational[346, 333] Pi, -0.06259844299600914}, {
     Rational[1040, 999] Pi, -0.07809189555280963}, {
     Rational[1042, 999] Pi, -0.12331199036636858`}, {
     Rational[116, 111] Pi, -0.05921403645575843}, {
     Rational[1046, 999] Pi, -0.05657944189835129}, {
     Rational[1048, 999] Pi, -0.07112508848875185}, {
     Rational[350, 333] Pi, -0.06117242791987598}, {
     Rational[1052, 999] Pi, -0.1288676013341365}, {
     Rational[1054, 999] Pi, -0.17051274895296453`}, {
     Rational[352, 333] Pi, -0.11358827411445968`}, {
     Rational[1058, 999] Pi, -0.13115304612135056`}, {
     Rational[1060, 999] Pi, -0.1446068671437872}, {
     Rational[118, 111] Pi, -0.09997729107821574}, {
     Rational[1064, 999] Pi, -0.1836522945747064}, {
     Rational[1066, 999] Pi, -0.20891633907949736`}, {
     Rational[356, 333] Pi, -0.1324556030530076}, {
     Rational[1070, 999] Pi, -0.21967857054735562`}, {
     Rational[1072, 999] Pi, -0.19102925440392995`}, {
     Rational[358, 333] Pi, -0.1597639765873243}, {
     Rational[1076, 999] Pi, -0.17018290383237414`}, {
     Rational[1078, 999] Pi, -0.15170542630083547`}, {
     Rational[40, 37] Pi, -0.22647623614201323`}, {
     Rational[1082, 999] Pi, -0.25692780928563574`}, {
     Rational[1084, 999] Pi, -0.20009422270739383`}, {
     Rational[362, 333] Pi, -0.24444598467676248`}, {
     Rational[1088, 999] Pi, -0.22872522461945405`}, {
     Rational[1090, 999] Pi, -0.22619504407319624`}, {
     Rational[364, 333] Pi, -0.2754925672247832}, {
     Rational[1094, 999] Pi, -0.21015553835418757`}, {
     Rational[1096, 999] Pi, -0.22969576365137578`}, {
     Rational[122, 111] Pi, -0.23106248467485865`}, {
     Rational[1100, 999] Pi, -0.2686537156924681}, {
     Rational[1102, 999] Pi, -0.24400428378683733`}, {
     Rational[368, 333] Pi, -0.3035092573251311}, {
     Rational[1106, 999] Pi, -0.2857737818344233}, {
     Rational[1108, 999] Pi, -0.32465965637759786`}, {
     Rational[10, 9] Pi, -0.24537075373386324`}, {
     Rational[1112, 999] Pi, -0.30769777532257014`}, {
     Rational[1114, 999] Pi, -0.3142092881372528}, {
     Rational[124, 111] Pi, -0.2609844809599659}, {
     Rational[1118, 999] Pi, -0.3503451328527689}, {
     Rational[1120, 999] Pi, -0.31042895713569946`}, {
     Rational[374, 333] Pi, -0.3517116464750486}, {
     Rational[1124, 999] Pi, -0.3212173611345023}, {
     Rational[1126, 999] Pi, -0.3745634463276615}, {
     Rational[376, 333] Pi, -0.3252794373933462}, {
     Rational[1130, 999] Pi, -0.36640935565148136`}, {
     Rational[1132, 999] Pi, -0.3384701609751761}, {
     Rational[42, 37] Pi, -0.3487008371651983}, {
     Rational[1136, 999] Pi, -0.33299569507423465`}, {
     Rational[1138, 999] Pi, -0.4072793626255783}, {
     Rational[380, 333] Pi, -0.3921992203753764}, {
     Rational[1142, 999] Pi, -0.3549555916150505}, {
     Rational[1144, 999] Pi, -0.44000783652181347`}, {
     Rational[382, 333] Pi, -0.40879786716669186`}, {
     Rational[1148, 999] Pi, -0.3874720748062602}, {
     Rational[1150, 999] Pi, -0.42291522867089393`}, {
     Rational[128, 111] Pi, -0.41646275168816055`}, {
     Rational[1154, 999] Pi, -0.4670903474004094}, {
     Rational[1156, 999] Pi, -0.4002180050200862}, {
     Rational[386, 333] Pi, -0.38895016327210175`}, {
     Rational[1160, 999] Pi, -0.39036648312197797`}, {
     Rational[1162, 999] Pi, -0.3953735297804284}, {
     Rational[388, 333] Pi, -0.40463872758403635`}, {
     Rational[1166, 999] Pi, -0.4373010129743749}, {
     Rational[1168, 999] Pi, -0.40899045592409644`}, {
     Rational[130, 111] Pi, -0.4303219450670467}, {
     Rational[1172, 999] Pi, -0.5154783954803269}, {
     Rational[1174, 999] Pi, -0.49858503162790724`}, {
     Rational[392, 333] Pi, -0.43384898980409825`}, {
     Rational[1178, 999] Pi, -0.5254001418100402}, {
     Rational[1180, 999] Pi, -0.49539240954067}, {
     Rational[394, 333] Pi, -0.5113505388493713}, {
     Rational[32, 27] Pi, -0.4537656219205388}, {
     Rational[1186, 999] Pi, -0.5545996991828275}, {
     Rational[44, 37] Pi, -0.501677059138919}, {
     Rational[1190, 999] Pi, -0.4873661821862394}, {
     Rational[1192, 999] Pi, -0.5681822078876141}, {
     Rational[398, 333] Pi, -0.4764492139013816}, {
     Rational[1196, 999] Pi, -0.5642039441055067}, {
     Rational[1198, 999] Pi, -0.5720161772343642}, {
     Rational[400, 333] Pi, -0.5322570665650823}, {
     Rational[1202, 999] Pi, -0.5340387611998796}, {
     Rational[1204, 999] Pi, -0.5699923859245084}, {
     Rational[134, 111] Pi, -0.5944804071487277}, {
     Rational[1208, 999] Pi, -0.5940866170201259}, {
     Rational[1210, 999] Pi, -0.5968862628297168}, {
     Rational[404, 333] Pi, -0.5551728510175213}, {
     Rational[1214, 999] Pi, -0.581992274439509}, {
     Rational[1216, 999] Pi, -0.6048887352868393}, {
     Rational[406, 333] Pi, -0.5821801279353171}, {
     Rational[1220, 999] Pi, -0.6247154874201144}, {
     Rational[1222, 999] Pi, -0.5883832755321278}, {
     Rational[136, 111] Pi, -0.5869659229063992}, {
     Rational[1226, 999] Pi, -0.5670519356919915}, {
     Rational[1228, 999] Pi, -0.5669007635204744}, {
     Rational[410, 333] Pi, -0.6190320254669213}, {
     Rational[1232, 999] Pi, -0.5972241972076673}, {
     Rational[1234, 999] Pi, -0.6248248558170182}, {
     Rational[412, 333] Pi, -0.6089086053811228}, {
     Rational[1238, 999] Pi, -0.6312932233698891}, {
     Rational[1240, 999] Pi, -0.6338341670535556}, {
     Rational[46, 37] Pi, -0.619062524154404}, {
     Rational[1244, 999] Pi, -0.6074053760762002}, {
     Rational[1246, 999] Pi, -0.627537989334362}, {
     Rational[416, 333] Pi, -0.6854844247674613}, {
     Rational[1250, 999] Pi, -0.666285864684361}, {
     Rational[1252, 999] Pi, -0.6885144095538558}, {
     Rational[418, 333] Pi, -0.6596403796928417}, {
     Rational[1256, 999] Pi, -0.6370239196921804}, {
     Rational[34, 27] Pi, -0.7049537645835975}, {
     Rational[140, 111] Pi, -0.633921158700201}, {
     Rational[1262, 999] Pi, -0.6436065731600632}, {
     Rational[1264, 999] Pi, -0.6463006506187368}, {
     Rational[422, 333] Pi, -0.6749563820583947}, {
     Rational[1268, 999] Pi, -0.6583532887755843}, {
     Rational[1270, 999] Pi, -0.6650649808382942}, {
     Rational[424, 333] Pi, -0.7416640461588966}, {
     Rational[1274, 999] Pi, -0.7494391253844809}, {
     Rational[1276, 999] Pi, -0.7093613381491721}, {
     Rational[142, 111] Pi, -0.7612321060639223}, {
     Rational[1280, 999] Pi, -0.7330402238635354}, {
     Rational[1282, 999] Pi, -0.7635635705845372}, {
     Rational[428, 333] Pi, -0.7785937251513352}, {
     Rational[1286, 999] Pi, -0.6874274111109059}, {
     Rational[1288, 999] Pi, -0.7775249271120624}, {
     Rational[430, 333] Pi, -0.7007501254621065}, {
     Rational[1292, 999] Pi, -0.7683554386231015}, {
     Rational[1294, 999] Pi, -0.7018263994812896}, {
     Rational[48, 37] Pi, -0.744947948841998}, {
     Rational[1298, 999] Pi, -0.7770970694453456}, {
     Rational[1300, 999] Pi, -0.7983032529826949}, {
     Rational[434, 333] Pi, -0.7234854052403612}, {
     Rational[1304, 999] Pi, -0.7946187258578125}, {
     Rational[1306, 999] Pi, -0.7462980138682304}, {
     Rational[436, 333] Pi, -0.7990574887950799}, {
     Rational[1310, 999] Pi, -0.7524988525873483}, {
     Rational[1312, 999] Pi, -0.7412423751471899}, {
     Rational[146, 111] Pi, -0.7869651860468406}, {
     Rational[1316, 999] Pi, -0.7814078291360455}, {
     Rational[1318, 999] Pi, -0.8363433428344258}, {
     Rational[440, 333] Pi, -0.8149616273879663}, {
     Rational[1322, 999] Pi, -0.7574362983765033}, {
     Rational[1324, 999] Pi, -0.8426563544668751}, {
     Rational[442, 333] Pi, -0.8500000120022632}, {
     Rational[1328, 999] Pi, -0.8103080987469267}, {
     Rational[1330, 999] Pi, -0.8272055754175831}, {
     Rational[4, 3] Pi, -0.8329659767605668}, {
     Rational[1334, 999] Pi, -0.8050082582644527}, {
     Rational[1336, 999] Pi, -0.8376161662499948}, {
     Rational[446, 333] Pi, -0.8697786800436638}, {
     Rational[1340, 999] Pi, -0.7787761813829399}, {
     Rational[1342, 999] Pi, -0.8688552433403693}, {
     Rational[448, 333] Pi, -0.8148223465081624}, {
     Rational[1346, 999] Pi, -0.8302461080673333}, {
     Rational[1348, 999] Pi, -0.7934429196763662}, {
     Rational[50, 37] Pi, -0.8032345372368611}, {
     Rational[1352, 999] Pi, -0.8141712164643856}, {
     Rational[1354, 999] Pi, -0.8482614751024127}, {
     Rational[452, 333] Pi, -0.8310156852927117}, {
     Rational[1358, 999] Pi, -0.8335401639415652}, {
     Rational[1360, 999] Pi, -0.8274502755682858}, {
     Rational[454, 333] Pi, -0.8255642920381221}, {
     Rational[1364, 999] Pi, -0.9023803859954247}, {
     Rational[1366, 999] Pi, -0.8289370004212013}, {
     Rational[152, 111] Pi, -0.8218324497543776}, {
     Rational[1370, 999] Pi, -0.8908255121937192}, {
     Rational[1372, 999] Pi, -0.8731400850708403}, {
     Rational[458, 333] Pi, -0.9003735514157395}, {
     Rational[1376, 999] Pi, -0.8685558606493167}, {
     Rational[1378, 999] Pi, -0.8671285443936475}, {
     Rational[460, 333] Pi, -0.9197702915765806}, {
     Rational[1382, 999] Pi, -0.9102148458401276}, {
     Rational[1384, 999] Pi, -0.8723359135654531}, {
     Rational[154, 111] Pi, -0.9344631138589758}, {
     Rational[1388, 999] Pi, -0.8488668804121954}, {
     Rational[1390, 999] Pi, -0.9215486107000033}, {
     Rational[464, 333] Pi, -0.8757554557179625}, {
     Rational[1394, 999] Pi, -0.847434013810332}, {
     Rational[1396, 999] Pi, -0.8723804218940734}, {
     Rational[466, 333] Pi, -0.8694115502901836}, {
     Rational[1400, 999] Pi, -0.9201464980107574}, {
     Rational[1402, 999] Pi, -0.8850241708751166}, {
     Rational[52, 37] Pi, -0.9316245463509512}, {
     Rational[38, 27] Pi, -0.9119365257044398}, {
     Rational[1408, 999] Pi, -0.9452047495805035}, {
     Rational[470, 333] Pi, -0.9429405333232881}, {
     Rational[1412, 999] Pi, -0.9205919541959158}, {
     Rational[1414, 999] Pi, -0.9242635382382134}, {
     Rational[472, 333] Pi, -0.8671990950348516}, {
     Rational[1418, 999] Pi, -0.9460567145953874}, {
     Rational[1420, 999] Pi, -0.9321320272461807}, {
     Rational[158, 111] Pi, -0.9398634051781389}, {
     Rational[1424, 999] Pi, -0.8821232328168789}, {
     Rational[1426, 999] Pi, -0.9449299015558323}, {
     Rational[476, 333] Pi, -0.9655857252499974}, {
     Rational[1430, 999] Pi, -0.8851291232478562}, {
     Rational[1432, 999] Pi, -0.9546870899130635}, {
     Rational[478, 333] Pi, -0.9628684858518902}, {
     Rational[1436, 999] Pi, -0.8883467473679437}, {
     Rational[1438, 999] Pi, -0.9621320809860071}, {
     Rational[160, 111] Pi, -0.9315997060927285}, {
     Rational[1442, 999] Pi, -0.9466051470723855}, {
     Rational[1444, 999] Pi, -0.9087558123513048}, {
     Rational[482, 333] Pi, -0.9534394561620974}, {
     Rational[1448, 999] Pi, -0.9416440839701703}, {
     Rational[1450, 999] Pi, -0.9586166263970263}, {
     Rational[484, 333] Pi, -0.9320299484056573}, {
     Rational[1454, 999] Pi, -0.9099624257268186}, {
     Rational[1456, 999] Pi, -0.913690991746295}, {
     Rational[54, 37] Pi, -0.931073434628496}, {
     Rational[1460, 999] Pi, -0.8955383071389331}, {
     Rational[1462, 999] Pi, -0.9788565320483841}, {
     Rational[488, 333] Pi, -0.9919403736155065}, {
     Rational[1466, 999] Pi, -0.9665994138325797}, {
     Rational[1468, 999] Pi, -0.9739226497437039}, {
     Rational[490, 333] Pi, -0.9149259386390152}, {
     Rational[1472, 999] Pi, -0.9223497986914148}, {
     Rational[1474, 999] Pi, -0.9953879171844964}, {
     Rational[164, 111] Pi, -0.9165952845928971}, {
     Rational[1478, 999] Pi, -0.9801304355260942}, {
     Rational[40, 27] Pi, -0.9025753006157349}, {
     Rational[494, 333] Pi, -0.9823541660975004}, {
     Rational[1484, 999] Pi, -0.9147623141391381}, {
     Rational[1486, 999] Pi, -0.9086207458028516}, {
     Rational[496, 333] Pi, -0.9865030787882587}, {
     Rational[1490, 999] Pi, -0.9526995272624593}, {
     Rational[1492, 999] Pi, -0.9801640294483653}, {
     Rational[166, 111] Pi, -0.9212892790597855}, {
     Rational[1496, 999] Pi, -0.9353700175712092}, {
     Rational[1498, 999] Pi, -0.9177308056891692}, {
     Rational[500, 333] Pi, -0.9440337183817828}, {
     Rational[1502, 999] Pi, -0.975279418074528}, {
     Rational[1504, 999] Pi, -0.9551307441822005}, {
     Rational[502, 333] Pi, -0.9267855445845155}, {
     Rational[1508, 999] Pi, -0.9186832014216973}, {
     Rational[1510, 999] Pi, -0.9368613824151384}, {
     Rational[56, 37] Pi, -0.9472506724556298}, {
     Rational[1514, 999] Pi, -0.9745575878867403}, {
     Rational[1516, 999] Pi, -0.8992184542892107}, {
     Rational[506, 333] Pi, -0.9155810601813528}, {
     Rational[1520, 999] Pi, -0.9201699887493864}, {
     Rational[1522, 999] Pi, -0.9039988157120871}, {
     Rational[508, 333] Pi, -0.9927377476910827}, {
     Rational[1526, 999] Pi, -0.9728172056746294}, {
     Rational[1528, 999] Pi, -0.9901869603781689}, {
     Rational[170, 111] Pi, -0.9528387844627636}, {
     Rational[1532, 999] Pi, -0.9938941986561882}, {
     Rational[1534, 999] Pi, -0.943416964344822}, {
     Rational[512, 333] Pi, -0.9740762012511411}, {
     Rational[1538, 999] Pi, -0.9099439875524621}, {
     Rational[1540, 999] Pi, -0.9620940694470034}, {
     Rational[514, 333] Pi, -0.9619235206431427}, {
     Rational[1544, 999] Pi, -0.9768363974631125}, {
     Rational[1546, 999] Pi, -0.9885366006835848}, {
     Rational[172, 111] Pi, -0.9246366744823817}, {
     Rational[1550, 999] Pi, -0.9415198214796032}, {
     Rational[1552, 999] Pi, -0.929358652580081}, {
     Rational[14, 9] Pi, -0.9427537332363806}, {
     Rational[1556, 999] Pi, -0.9043940584673507}, {
     Rational[1558, 999] Pi, -0.9789239957403726}, {
     Rational[520, 333] Pi, -0.9700745292246105}, {
     Rational[1562, 999] Pi, -0.8937260892237348}, {
     Rational[1564, 999] Pi, -0.9543494520716321}, {
     Rational[58, 37] Pi, -0.885114094368244}, {
     Rational[1568, 999] Pi, -0.8857598938234407}, {
     Rational[1570, 999] Pi, -0.9463000954092713}, {
     Rational[524, 333] Pi, -0.8850108420374548}, {
     Rational[1574, 999] Pi, -0.911446338915681}, {
     Rational[1576, 999] Pi, -0.9041471296305195}, {
     Rational[526, 333] Pi, -0.940051031982228}, {
     Rational[1580, 999] Pi, -0.912795442692641}, {
     Rational[1582, 999] Pi, -0.8901805888282821}, {
     Rational[176, 111] Pi, -0.8977959223924241}, {
     Rational[1586, 999] Pi, -0.9504935456559015}, {
     Rational[1588, 999] Pi, -0.8941853292014218}, {
     Rational[530, 333] Pi, -0.9025250142573601}, {
     Rational[1592, 999] Pi, -0.878483014910668}, {
     Rational[1594, 999] Pi, -0.8727426872838296}, {
     Rational[532, 333] Pi, -0.9294263330128392}, {
     Rational[1598, 999] Pi, -0.9131995244768831}, {
     Rational[1600, 999] Pi, -0.9313839094041413}, {
     Rational[178, 111] Pi, -0.920588267377813}, {
     Rational[1604, 999] Pi, -0.8613885635226975}, {
     Rational[1606, 999] Pi, -0.8750216310758926}, {
     Rational[536, 333] Pi, -0.9095846288350395}, {
     Rational[1610, 999] Pi, -0.8806518388525866}, {
     Rational[1612, 999] Pi, -0.8773826572941338}, {
     Rational[538, 333] Pi, -0.891235982114244}, {
     Rational[1616, 999] Pi, -0.8704557947015171}, {
     Rational[1618, 999] Pi, -0.8918049984580209}, {
     Rational[60, 37] Pi, -0.8996796742279674}, {
     Rational[1622, 999] Pi, -0.8648759303362445}, {
     Rational[1624, 999] Pi, -0.8444480864981098}, {
     Rational[542, 333] Pi, -0.8393852031212121}, {
     Rational[44, 27] Pi, -0.8581358633107248}, {
     Rational[1630, 999] Pi, -0.8380974529564502}, {
     Rational[544, 333] Pi, -0.9124507551730903}, {
     Rational[1634, 999] Pi, -0.8519109627163105}, {
     Rational[1636, 999] Pi, -0.8141290622910872}, {
     Rational[182, 111] Pi, -0.8746571592691437}, {
     Rational[1640, 999] Pi, -0.8089277943617036}, {
     Rational[1642, 999] Pi, -0.8821317733116709}, {
     Rational[548, 333] Pi, -0.8112120707561263}, {
     Rational[1646, 999] Pi, -0.8164255021083525}, {
     Rational[1648, 999] Pi, -0.8235789503955204}, {
     Rational[550, 333] Pi, -0.826341718722668}, {
     Rational[1652, 999] Pi, -0.8243866141701877}, {
     Rational[1654, 999] Pi, -0.8517553330854513}, {
     Rational[184, 111] Pi, -0.7972370865620219}, {
     Rational[1658, 999] Pi, -0.7937470152145537}, {
     Rational[1660, 999] Pi, -0.7793588722540988}, {
     Rational[554, 333] Pi, -0.8237396283501218}, {
     Rational[1664, 999] Pi, -0.8425798622481969}, {
     Rational[1666, 999] Pi, -0.8363368405859151}, {
     Rational[556, 333] Pi, -0.8152397365835359}, {
     Rational[1670, 999] Pi, -0.8377292223636582}, {
     Rational[1672, 999] Pi, -0.7650479417854913}, {
     Rational[62, 37] Pi, -0.8246611779226163}, {
     Rational[1676, 999] Pi, -0.7545063962967992}, {
     Rational[1678, 999] Pi, -0.8288748384013597}, {
     Rational[560, 333] Pi, -0.7698332108841948}, {
     Rational[1682, 999] Pi, -0.7523274194206355}, {
     Rational[1684, 999] Pi, -0.7882932862100449}, {
     Rational[562, 333] Pi, -0.8235455802978761}, {
     Rational[1688, 999] Pi, -0.7550894198765441}, {
     Rational[1690, 999] Pi, -0.7244688403827423}, {
     Rational[188, 111] Pi, -0.7205204443223918}, {
     Rational[1694, 999] Pi, -0.7819878561684053}, {
     Rational[1696, 999] Pi, -0.7696337256576589}, {
     Rational[566, 333] Pi, -0.7716512944413593}, {
     Rational[1700, 999] Pi, -0.8042795091789036}, {
     Rational[46, 27] Pi, -0.7519160130233337}, {
     Rational[568, 333] Pi, -0.7067123241703911}, {
     Rational[1706, 999] Pi, -0.7827601082799908}, {
     Rational[1708, 999] Pi, -0.6969719809969731}, {
     Rational[190, 111] Pi, -0.7743864171411522}, {
     Rational[1712, 999] Pi, -0.7532655638638507}, {
     Rational[1714, 999] Pi, -0.7287983527117459}, {
     Rational[572, 333] Pi, -0.6969120911993267}, {
     Rational[1718, 999] Pi, -0.705127495274206}, {
     Rational[1720, 999] Pi, -0.6973287275971537}, {
     Rational[574, 333] Pi, -0.7431590544195338}, {
     Rational[1724, 999] Pi, -0.6913037132403762}, {
     Rational[1726, 999] Pi, -0.7297717080167045}, {
     Rational[64, 37] Pi, -0.7449521837129989}, {
     Rational[1730, 999] Pi, -0.7084865864761007}, {
     Rational[1732, 999] Pi, -0.7228506972374876}, {
     Rational[578, 333] Pi, -0.7106249508724969}, {
     Rational[1736, 999] Pi, -0.7089559432997585}, {
     Rational[1738, 999] Pi, -0.6789271539487864}, {
     Rational[580, 333] Pi, -0.6591835288107557}, {
     Rational[1742, 999] Pi, -0.6577255640879256}, {
     Rational[1744, 999] Pi, -0.6865742969885693}, {
     Rational[194, 111] Pi, -0.7060488461174191}, {
     Rational[1748, 999] Pi, -0.6269914419937611}, {
     Rational[1750, 999] Pi, -0.6323973474091233}, {
     Rational[584, 333] Pi, -0.6555851711539086}, {
     Rational[1754, 999] Pi, -0.6056412200529491}, {
     Rational[1756, 999] Pi, -0.6576431046940511}, {
     Rational[586, 333] Pi, -0.6626851603859942}, {
     Rational[1760, 999] Pi, -0.6185317840031732}, {
     Rational[1762, 999] Pi, -0.6351783653868455}, {
     Rational[196, 111] Pi, -0.6478938381712918}, {
     Rational[1766, 999] Pi, -0.5898195695565822}, {
     Rational[1768, 999] Pi, -0.6323434834157051}, {
     Rational[590, 333] Pi, -0.5744979187248012}, {
     Rational[1772, 999] Pi, -0.6213829599394902}, {
     Rational[1774, 999] Pi, -0.6360177758798333}, {
     Rational[16, 9] Pi, -0.560971659253773}, {
     Rational[1778, 999] Pi, -0.544396054407891}, {
     Rational[1780, 999] Pi, -0.603896521277377}, {
     Rational[66, 37] Pi, -0.5754205248695631}, {
     Rational[1784, 999] Pi, -0.5792356107162728}, {
     Rational[1786, 999] Pi, -0.53037485332932}, {
     Rational[596, 333] Pi, -0.5805729222876786}, {
     Rational[1790, 999] Pi, -0.5507130375815995}, {
     Rational[1792, 999] Pi, -0.5577648438778182}, {
     Rational[598, 333] Pi, -0.579547519435679}, {
     Rational[1796, 999] Pi, -0.5475212230029398}, {
     Rational[1798, 999] Pi, -0.49135722787144875`}, {
     Rational[200, 111] Pi, -0.49522512691102716`}, {
     Rational[1802, 999] Pi, -0.5043279152354191}, {
     Rational[1804, 999] Pi, -0.5724154796762291}, {
     Rational[602, 333] Pi, -0.4972733495875901}, {
     Rational[1808, 999] Pi, -0.477471181061625}, {
     Rational[1810, 999] Pi, -0.5129944517672349}, {
     Rational[604, 333] Pi, -0.5336069612890671}, {
     Rational[1814, 999] Pi, -0.5133582828825698}, {
     Rational[1816, 999] Pi, -0.5270137189889341}, {
     Rational[202, 111] Pi, -0.5251635704607573}, {
     Rational[1820, 999] Pi, -0.434979601820481}, {
     Rational[1822, 999] Pi, -0.4539991825402193}, {
     Rational[608, 333] Pi, -0.42079814508679625`}, {
     Rational[1826, 999] Pi, -0.506004929040505}, {
     Rational[1828, 999] Pi, -0.46406506831512545`}, {
     Rational[610, 333] Pi, -0.4961928445911207}, {
     Rational[1832, 999] Pi, -0.447748364553892}, {
     Rational[1834, 999] Pi, -0.47046679542219827`}, {
     Rational[68, 37] Pi, -0.40771338403456425`}, {
     Rational[1838, 999] Pi, -0.4280558539798993}, {
     Rational[1840, 999] Pi, -0.4434312854528}, {
     Rational[614, 333] Pi, -0.4082040222855595}, {
     Rational[1844, 999] Pi, -0.3661431122706448}, {
     Rational[1846, 999] Pi, -0.451011507268104}, {
     Rational[616, 333] Pi, -0.38799241623613334`}, {
     Rational[50, 27] Pi, -0.39522304077789494`}, {
     Rational[1852, 999] Pi, -0.3669638849547575}, {
     Rational[206, 111] Pi, -0.37047078378705556`}, {
     Rational[1856, 999] Pi, -0.3781736690383345}, {
     Rational[1858, 999] Pi, -0.34168058860891626`}, {
     Rational[620, 333] Pi, -0.3743491693408302}, {
     Rational[1862, 999] Pi, -0.32446509495957676`}, {
     Rational[1864, 999] Pi, -0.37729525108533213`}, {
     Rational[622, 333] Pi, -0.30894619413953583`}, {
     Rational[1868, 999] Pi, -0.3557724442668804}, {
     Rational[1870, 999] Pi, -0.3615114765404759}, {
     Rational[208, 111] Pi, -0.33635888542876713`}, {
     Rational[1874, 999] Pi, -0.31354687805739767`}, {
     Rational[1876, 999] Pi, -0.3164895328915325}, {
     Rational[626, 333] Pi, -0.2751565654934105}, {
     Rational[1880, 999] Pi, -0.3366272465726082}, {
     Rational[1882, 999] Pi, -0.3206356049988104}, {
     Rational[628, 333] Pi, -0.2828022615683221}, {
     Rational[1886, 999] Pi, -0.29170142303123964`}, {
     Rational[1888, 999] Pi, -0.29026246695184055`}, {
     Rational[70, 37] Pi, -0.31419063663561675`}, {
     Rational[1892, 999] Pi, -0.2935146248914863}, {
     Rational[1894, 999] Pi, -0.2835217331399883}, {
     Rational[632, 333] Pi, -0.2445911087656963}, {
     Rational[1898, 999] Pi, -0.23292165414373156`}, {
     Rational[1900, 999] Pi, -0.22469606949781099`}, {
     Rational[634, 333] Pi, -0.2569652476756882}, {
     Rational[1904, 999] Pi, -0.28087323767604777`}, {
     Rational[1906, 999] Pi, -0.2690857148097387}, {
     Rational[212, 111] Pi, -0.24946667664376776`}, {
     Rational[1910, 999] Pi, -0.18423866774100958`}, {
     Rational[1912, 999] Pi, -0.2126729595630043}, {
     Rational[638, 333] Pi, -0.2561129509430625}, {
     Rational[1916, 999] Pi, -0.1678469587385671}, {
     Rational[1918, 999] Pi, -0.2363488808247678}, {
     Rational[640, 333] Pi, -0.204969810978705}, {
     Rational[1922, 999] Pi, -0.1577317581167547}, {
     Rational[52, 27] Pi, -0.18729117724046862`}, {
     Rational[214, 111] Pi, -0.18714081372658994`}, {
     Rational[1928, 999] Pi, -0.1204501300011652}, {
     Rational[1930, 999] Pi, -0.1348435663502868}, {
     Rational[644, 333] Pi, -0.13293448136464278`}, {
     Rational[1934, 999] Pi, -0.12122649187285514`}, {
     Rational[1936, 999] Pi, -0.17872158964006823`}, {
     Rational[646, 333] Pi, -0.10833828563083642`}, {
     Rational[1940, 999] Pi, -0.13918831535822107`}, {
     Rational[1942, 999] Pi, -0.1012190997286338}, {
     Rational[72, 37] Pi, -0.1138152989757567}, {
     Rational[1946, 999] Pi, -0.08913025633453217}, {
     Rational[1948, 999] Pi, -0.14462629788521164`}, {
     Rational[650, 333] Pi, -0.10935906951541316`}, {
     Rational[1952, 999] Pi, -0.10123959074606767`}, {
     Rational[1954, 999] Pi, -0.11247272431858563`}, {
     Rational[652, 333] Pi, -0.08258065160432007}, {
     Rational[1958, 999] Pi, -0.06091173799107602}, {
     Rational[1960, 999] Pi, -0.06863988854497834}, {
     Rational[218, 111] Pi, -0.03553954867485784}, {
     Rational[1964, 999] Pi, -0.09921976780306452}, {
     Rational[1966, 999] Pi, -0.06526389951764638}, {
     Rational[656, 333] Pi, -0.04013281659419726}, {
     Rational[1970, 999] Pi, -0.08787778752621389}, {
     Rational[1972, 999] Pi, -0.02376983385205436}, {
     Rational[658, 333] Pi, -0.02170447171386436}, {
     Rational[1976, 999] Pi, -0.008060037136514306}, {
     Rational[1978, 999] Pi, 0.006013672192045724}, {
     Rational[220, 111] Pi, -0.011066473891096704`}, {
     Rational[1982, 999] Pi, 0.030486171185249156`}, {
     Rational[1984, 999] Pi, 0.05311612337952119}, {
     Rational[662, 333] Pi, 0.05574459650071428}, {
     Rational[1988, 999] Pi, 0.02564371286468122}, {
     Rational[1990, 999] Pi, -0.01890888058988151}, {
     Rational[664, 333] Pi, 0.005185511281658964}, {
     Rational[1994, 999] Pi, 0.026463057828135773`}, {
     Rational[1996, 999] Pi, 0.07855775352915538}, {
     2 Pi, 0.018703882969789642`}}, 
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